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Finding the Third Proportional to 506,175,358.50 and 788,856,792.75

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Solution

The third proportional to 506,175,358.50 and 788,856,792.75 is: 1,229,406,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,175,358.50 : 788,856,792.75 = 788,856,792.75 : x
  2. Step 2: Convert to fraction form
    506,175,358.50/788,856,792.75 = 788,856,792.75/x
  3. Step 3: Cross multiply
    506,175,358.50x = 788,856,792.75 × 788,856,792.75
  4. Step 4: Simplify right side
    506,175,358.50x = 622,295,039,467,816,448
  5. Step 5: Solve for x
    x = 622,295,039,467,816,448/506,175,358.50
  6. Step 6: Final answer
    x = 1,229,406,032.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.